If is continuous at

MATHEMATICS · Numerical · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

If f(x)={a∣x∣+x2−2(sin⁡∣x∣)(cos⁡∣x∣)x,x≠0b,x=0f(x)=\begin{cases}\frac{a|x|+x^2-2(\sin|x|)(\cos|x|)}{x},&x\ne0\\b,&x=0\end{cases} is continuous at x=0x=0, then a+ba+b is equal to

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